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1. In a survey of a TriDelta chapter with 46 members, 13 were taking mathematics, 33 were taking English, and 6 were taking both. How many were not taking either of these subjects?

  • math -

    No One was Not taking any of these,Because 33+13=46

  • math -

    N(Math OR English) = N(Math) + N(English) - n(Math AND English)
    = 13 + 33 - 6
    = 40

    So 40 took either Math or English, then
    6 took neither of these subjects

    You can also do this with Venn diagrams

  • math -

    Subtract 6 from 13 and from 33.
    Then add 6 back just once.
    7 + 27 + 6 = 40 students are taking either one or both of the subjects.

    So 46 - 40 = 6 students are taking neither of the subjects.

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